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Finding the Third Proportional to 137,894.91 and 296,900.44

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Solution

The third proportional to 137,894.91 and 296,900.44 is: 639,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.91 : 296,900.44 = 296,900.44 : x
  2. Step 2: Convert to fraction form
    137,894.91/296,900.44 = 296,900.44/x
  3. Step 3: Cross multiply
    137,894.91x = 296,900.44 × 296,900.44
  4. Step 4: Simplify right side
    137,894.91x = 88,149,869,787.69
  5. Step 5: Solve for x
    x = 88,149,869,787.69/137,894.91
  6. Step 6: Final answer
    x = 639,254.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.